Arnold’s work was in an area of mathematics that concerns all the different configurations a physical system like bouncing billiard balls or orbiting planets can take. These configurations are encoded ...
Geometric group theory and discrete mathematics intersect in the study of groups through the lens of geometric and combinatorial structures. At its core, geometric group theory probes how algebraic ...
Geometric Control Theory on Lie Groups blends control theory with differential geometry to analyse and design controllers for systems evolving on smooth manifolds that possess a group structure.
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